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D( x )
x-6 = 0
x-6 = 0
x-6 = 0
x-6 = 0 // + 6
x = 6
x in (-oo:6) U (6:+oo)
(6*x^2+41*x+27)/(x-6) = 0
6*x^2+41*x+27 = 0
6*x^2+41*x+27 = 0
DELTA = 41^2-(4*6*27)
DELTA = 1033
DELTA > 0
x = (1033^(1/2)-41)/(2*6) or x = (-1033^(1/2)-41)/(2*6)
x = (1033^(1/2)-41)/12 or x = (-(1033^(1/2)+41))/12
(x+(1033^(1/2)+41)/12)*(x-((1033^(1/2)-41)/12)) = 0
((x+(1033^(1/2)+41)/12)*(x-((1033^(1/2)-41)/12)))/(x-6) = 0
( x+(1033^(1/2)+41)/12 )
x+(1033^(1/2)+41)/12 = 0 // - (1033^(1/2)+41)/12
x = -((1033^(1/2)+41)/12)
( x-((1033^(1/2)-41)/12) )
x-((1033^(1/2)-41)/12) = 0 // + (1033^(1/2)-41)/12
x = (1033^(1/2)-41)/12
x in { -((1033^(1/2)+41)/12), (1033^(1/2)-41)/12 }
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